{"id":"https://openalex.org/W3018917149","doi":"https://doi.org/10.1016/j.nonrwa.2020.103243","title":"Global existence of weak solutions to a diffuse interface model for magnetic fluids","display_name":"Global existence of weak solutions to a diffuse interface model for magnetic fluids","publication_year":2020,"publication_date":"2020-10-28","ids":{"openalex":"https://openalex.org/W3018917149","doi":"https://doi.org/10.1016/j.nonrwa.2020.103243","mag":"3018917149"},"language":"en","primary_location":{"id":"doi:10.1016/j.nonrwa.2020.103243","doi":"https://doi.org/10.1016/j.nonrwa.2020.103243","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.nonrwa.2020.103243","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1468121820301619","source":{"id":"https://openalex.org/S114104845","display_name":"Nonlinear Analysis Real World Applications","issn_l":"1468-1218","issn":["1468-1218","1878-5719"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Analysis: Real World Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S1468121820301619","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021701929","display_name":"Martin Kalousek","orcid":"https://orcid.org/0000-0001-8846-3779","observed_orcids":["https://orcid.org/0000-0001-8846-3779"]},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"Martin Kalousek","raw_affiliation_strings":["Institute of Mathematics, Czech Academy of Sciences, \u017ditn\u00e1 25, 11567 Prague, Czech Republic","Institute of Mathematics, University of W\u00fcrzburg, Emil-Fischer-Str.\u00a040, 97074 W\u00fcrzburg, Germany","University of Wurzburg#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-8846-3779","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Czech Academy of Sciences, \u017ditn\u00e1 25, 11567 Prague, Czech Republic","institution_ids":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, Emil-Fischer-Str.\u00a040, 97074 W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"University of Wurzburg#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020500206","display_name":"Sourav Mitra","orcid":"https://orcid.org/0000-0001-8986-9869","observed_orcids":["https://orcid.org/0000-0001-8986-9869"]},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sourav Mitra","raw_affiliation_strings":["Institute of Mathematics, University of W\u00fcrzburg, Emil-Fischer-Str.\u00a040, 97074 W\u00fcrzburg, Germany","University of Wurzburg#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, Emil-Fischer-Str.\u00a040, 97074 W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"University of Wurzburg#TAB#","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046788561","display_name":"Anja Schl\u00f6merkemper","orcid":"https://orcid.org/0000-0002-2744-0044","observed_orcids":["https://orcid.org/0000-0002-2744-0044"]},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Anja Schl\u00f6merkemper","raw_affiliation_strings":["Institute of Mathematics, University of W\u00fcrzburg, Emil-Fischer-Str.\u00a040, 97074 W\u00fcrzburg, Germany","University of Wurzburg#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, Emil-Fischer-Str.\u00a040, 97074 W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]},{"raw_affiliation_string":"University of Wurzburg#TAB#","institution_ids":["https://openalex.org/I25974101"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020500206"],"corresponding_institution_ids":["https://openalex.org/I25974101"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":null,"fwci":1.1383,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74919985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"59","issue":null,"first_page":"103243","last_page":"103243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0012000000569969416,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diffuse-interface-model","display_name":"diffuse interface model","score":0.9359999895095825},{"id":"https://openalex.org/keywords/ferrofluids","display_name":"ferrofluids","score":0.9729999899864197},{"id":"https://openalex.org/keywords/global-existence","display_name":"global existence","score":0.8069999814033508},{"id":"https://openalex.org/keywords/weak-solutions","display_name":"weak solutions","score":1.0},{"id":"https://openalex.org/keywords/incompressible-navier-stokes-equations","display_name":"incompressible Navier-Stokes equations","score":0.9440000057220459},{"id":"https://openalex.org/keywords/cahn-hilliard-equation","display_name":"Cahn-Hilliard equation","score":0.9259999990463257},{"id":"https://openalex.org/keywords/magnetization-dynamics","display_name":"magnetization dynamics","score":0.7850000262260437},{"id":"https://openalex.org/keywords/time-discretization","display_name":"time discretization","score":0.6830000281333923},{"id":"https://openalex.org/keywords/two-phase-flow","display_name":"two-phase flow","score":0.777999997138977}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.703730046749115},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6486724019050598},{"id":"https://openalex.org/C2988635477","wikidata":"https://www.wikidata.org/wiki/Q28130211","display_name":"Interface model","level":2,"score":0.6196101903915405},{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.6060492992401123},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.546930730342865},{"id":"https://openalex.org/C294558","wikidata":"https://www.wikidata.org/wiki/Q366968","display_name":"Newtonian fluid","level":2,"score":0.49689868092536926},{"id":"https://openalex.org/C50415386","wikidata":"https://www.wikidata.org/wiki/Q1663717","display_name":"Incompressible flow","level":3,"score":0.4965527653694153},{"id":"https://openalex.org/C84403224","wikidata":"https://www.wikidata.org/wiki/Q860589","display_name":"Non-Newtonian fluid","level":2,"score":0.47291406989097595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45661821961402893},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.45442819595336914},{"id":"https://openalex.org/C45137528","wikidata":"https://www.wikidata.org/wiki/Q7977966","display_name":"Weak solution","level":2,"score":0.4366753101348877},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4361845850944519},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41234296560287476},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32188159227371216},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15714508295059204},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"score":0.0},{"id":"https://openalex.org/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"score":0.0},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.nonrwa.2020.103243","doi":"https://doi.org/10.1016/j.nonrwa.2020.103243","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.nonrwa.2020.103243","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1468121820301619","source":{"id":"https://openalex.org/S114104845","display_name":"Nonlinear Analysis Real World Applications","issn_l":"1468-1218","issn":["1468-1218","1878-5719"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Analysis: Real World Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2004.09616","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2004.09616","pdf_url":"https://arxiv.org/pdf/2004.09616","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3018917149","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.09616.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2004.09616","doi":"https://doi.org/10.48550/arxiv.2004.09616","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2004.09616","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.nonrwa.2020.103243","doi":"https://doi.org/10.1016/j.nonrwa.2020.103243","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.nonrwa.2020.103243","pdf_url":"https://www.sciencedirect.com/science/article/pii/S1468121820301619","source":{"id":"https://openalex.org/S114104845","display_name":"Nonlinear Analysis Real World Applications","issn_l":"1468-1218","issn":["1468-1218","1878-5719"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nonlinear Analysis: Real World Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4723978975","display_name":null,"funder_award_id":"SCHL 1706/4-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7665888687","display_name":"Mathematische Analysis und Modellierung zeitlicher Ver\u00e4nderungen magnetoelastischer Materialien","funder_award_id":"391682204","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3018917149.pdf","grobid_xml":"https://content.openalex.org/works/W3018917149.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W44035921","https://openalex.org/W1525219438","https://openalex.org/W1586623601","https://openalex.org/W1597209545","https://openalex.org/W1866311589","https://openalex.org/W1964457157","https://openalex.org/W1964885918","https://openalex.org/W2010502651","https://openalex.org/W2018163915","https://openalex.org/W2026525844","https://openalex.org/W2046127134","https://openalex.org/W2046528357","https://openalex.org/W2056743765","https://openalex.org/W2066359652","https://openalex.org/W2073078790","https://openalex.org/W2075860223","https://openalex.org/W2076582418","https://openalex.org/W2079396461","https://openalex.org/W2090624088","https://openalex.org/W2126625959","https://openalex.org/W2130457461","https://openalex.org/W2136969171","https://openalex.org/W2147722083","https://openalex.org/W2161103026","https://openalex.org/W2170339701","https://openalex.org/W2272098399","https://openalex.org/W2328165101","https://openalex.org/W2357498811","https://openalex.org/W2487968427","https://openalex.org/W2495095082","https://openalex.org/W2534407106","https://openalex.org/W2605542528","https://openalex.org/W2622245330","https://openalex.org/W2761612482","https://openalex.org/W2898098559","https://openalex.org/W2963204331","https://openalex.org/W2963781498","https://openalex.org/W2966020116","https://openalex.org/W3101523245","https://openalex.org/W3104508475","https://openalex.org/W3105020826","https://openalex.org/W4301454416"],"related_works":["https://openalex.org/W3163101540","https://openalex.org/W4378376646","https://openalex.org/W4415162419","https://openalex.org/W7166835255","https://openalex.org/W4200188176","https://openalex.org/W3104508475","https://openalex.org/W2142830336","https://openalex.org/W3165235781","https://openalex.org/W2081762789","https://openalex.org/W4416235410"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2020-05-01T00:00:00"}
